Вправи 1001 - 1100 » 1087 (а-д)

1087. Скороти дріб. a) (x^2+ 2x)/(x^2+ 7x+10) = (x(x+2))/((x+2)(x+3)) = x/(x+5); б) (x^2- 4x+3)/(x^2- 9) = ((x-3)(x-1))/((x-3)(x+3)) = (x-1)/(x+3); в) (x^2+ 3x+2)/(x^2+ 4x+3) = ((x+1)(x+2))/((x+3)(x+1)) = (x+2)/(x+3); г) (〖3с〗^2- 5с+2)/(〖3с〗^2- с-2) = (3(с-1)(с- 2/3))/(3(с-1)(с+ 2/3)) = (3с-2)/(3с+2); c = (5 ± √(25-24))/6 = (5 ±1)/6; c1 = 1; c2 = 2/3; c’ = (1 ± √(1+24))/6 = (1 ±5)/6; c_1^' = 1; c_2^' = –2/3; ґ) (x^2+ 2x-15)/(35+2x- x^2 ) = ((x+5)(x-3))/(-(x^2- 2x-35)) = ((x+5)(x-3))/(-(x-7)(x+5)) = (x-3)/(7-x); д) (〖-3x〗^2+ 5x-2)/(x^2- 1) = (-3(x-1)(x- 2/3))/((x-1)(x+1)) = (2-3x)/(x+1); x = (-5 ± √(25-24))/(-6) = (-5 ±1)/(-6); x1 = 1; x2 = 2/3.